Basic concepts of mathematical logic will be covered. This will help us to understand and construct mathematical reasoning and arguments.

Beginner

43 Lessons

6h

Certificate of Completion

Basic concepts of mathematical logic will be covered. This will help us to understand and construct mathematical reasoning and arguments.

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Explanations

This course includes

6 Assessments

23 Quizzes

This course includes

6 Assessments

23 Quizzes

Course Overview

Formal logic provides a systematic and rigorous framework for expressing and analyzing arguments, which enables learners to evaluate the validity of reasoning, fostering critical thinking skills. Proficiency in constructing and understanding proofs enhances problem-solving abilities, encourages precision in thought, and promotes clarity in communication. In this course, you’ll explore propositions and logical connectives in propositional logic. Next, you’ll cover first-order logic, which extends the scope ...

What You'll Learn

An understanding of propositional logic

An understanding of first-order logic

An understanding of deductive logic

Familiarity with the structure of mathematical proofs

What You'll Learn

An understanding of propositional logic

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Course Content

1.

Introduction

2.

Propositional Logic

3.

Basic Operations

ConjunctionProperties of ConjunctionDisjunctionProperties of DisjunctionNegationPrecedence of Operations and Negating Compound PropositionsDeMorgan's LawsImplicationDerived ImplicationBi-implicationLogical Equivalence Revisited

Assessment-I

Assessment

4.

Propositional Toolkit

Assessment-II

Assessment

5.

Logical Reasoning

Logical Truths and InferenceInference: Modus Ponens and Modus TollensInference: Addition, Conjunction, and SimplificationInference: Disjunctive and Hypothetical SyllogismInference: Constructive and Destructive DilemmaMathematical Proofs: BasicsMathematical Proofs: A Complex ScenarioCommon Mistakes in ArgumentsLogical Puzzles

Assessment-III

Assessment

6.

Quantifiers and First Order Logic

5 Lessons

Assessment-IV

Assessment

7.

Quantified Logical Reasoning

4 Lessons

Assessment-V

Assessment

8.

Proving Theorems

5 Lessons

Assessment-VI

Assessment

9.

Conclusion

1 Lesson

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